213302001311320 has 128 divisors (see below), whose sum is σ = 508925346992640. Its totient is φ = 80317236510720.

The previous prime is 213302001311279. The next prime is 213302001311323. The reversal of 213302001311320 is 23113100203312.

It is a junction number, because it is equal to n+sod(n) for n = 213302001311291 and 213302001311300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213302001311323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187218904 + ... + 188354776.

It is an arithmetic number, because the mean of its divisors is an integer number (3975979273380).

Almost surely, 2^{213302001311320} is an apocalyptic number.

213302001311320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213302001311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254462673496320).

213302001311320 is an abundant number, since it is smaller than the sum of its proper divisors (295623345681320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213302001311320 is a wasteful number, since it uses less digits than its factorization.

213302001311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140045 (or 1140041 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 213302001311320 its reverse (23113100203312), we get a palindrome (236415101514632).

The spelling of 213302001311320 in words is "two hundred thirteen trillion, three hundred two billion, one million, three hundred eleven thousand, three hundred twenty".